Question

Find the probability that none of the three bulbs in a traffic signal must be replaced during the first 2700 hours of operation if the probability that a bulb must be replaced is a random variable b with density f(b) = 6(0.25 – (b - 2.5)2) when 2 < b < 3 and 0 otherwise, where b is time measured in multiples of 1000 hours. Find the probability that none of the three bulbs in a traffic signal must be replaced during the first 2700 hours of operation if the probability that a bulb must be replaced is a random variable b with density f(b) = 6(0.25 – (b - 2.5)2) when 2 < b < 3 and 0 otherwise, where b is time measured in multiples of 1000 hours. @Mathematics